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Annihilation energy and decay time of an ortho-Positronium

2019/07/10 by Guvendi, Abdullah, Sucu, Yusuf
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1907.04619

Abstract

We approach to the ortho-positronium (o-Ps) as a relativistic two-body problem in 2+1 dimensions in which o-Ps is composed of two-oppositely charged particles interacting via an attractive Coulomb force. In addition to separation of center of mass and relative coordinates, mapping the background into the polar space-time gives possibility of construction of possible spin eigen-states of o-Ps. This approach makes the energy spectrum complex in order to describe o-Ps that can decay. From the complex energy expression, we find the annihilation energy, binding energy and the life-time of o-Ps, in S state.

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